Exact Asymptotic Stability Analysis and Region-of-Attraction Estimation for Nonlinear Systems
Joint Authors
Lin, Wang
Wu, Min
Yang, Zhengfeng
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-04
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We address the problem of asymptotic stability and region-of-attraction analysis of nonlinear dynamical systems.
A hybrid symbolic-numeric method is presented to compute exact Lyapunov functions and exact estimates of regions of attraction of nonlinear systems efficiently.
A numerical Lyapunov function and an estimate of region of attraction can be obtained by solving an (bilinear) SOS programming via BMI solver, then the modified Newton refinement and rational vector recovery techniques are applied to obtain exact Lyapunov functions and verified estimates of regions of attraction with rational coefficients.
Experiments on some benchmarks are given to illustrate the efficiency of our algorithm.
American Psychological Association (APA)
Wu, Min& Yang, Zhengfeng& Lin, Wang. 2013. Exact Asymptotic Stability Analysis and Region-of-Attraction Estimation for Nonlinear Systems. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-449378
Modern Language Association (MLA)
Wu, Min…[et al.]. Exact Asymptotic Stability Analysis and Region-of-Attraction Estimation for Nonlinear Systems. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-449378
American Medical Association (AMA)
Wu, Min& Yang, Zhengfeng& Lin, Wang. Exact Asymptotic Stability Analysis and Region-of-Attraction Estimation for Nonlinear Systems. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-449378
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449378
